LTI Lissajous explanation document

Oct 03, 2008 3 Replies

I teach an introductory course on basic electronics and instrumentation. I recently put together a document on using Lissajous figures to experimentally determine the phase shift of an LTI system. I thought someone here might find it useful:



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It's a short document (2 pages). I included a couple of graphics that I think could be helpful.


*) The graphic on the first page shows how to use the shape and rotation direction of the Lissajous figure to properly place the phase shift (i.e., determine which quadrant the angle is in).


*
) The graphic on the second page gives a simple laboratory procedure for determining phase shift (including steps that put the phase shift in the correct quadrant).


You might also note that hardly anybody uses Lissajous patterns for anything but artsy entertainment. It's much easier to time zero crossings and scale directly to phase angle.

John

That's an accurate statement (in my experience). The last time I saw a lissajous image was when I was a kid (30+ years ago). I tore apart an old tv and hooked my stereo's amplifier outputs to the horizontal and vertical deflection coils. I used to watch that thing for hours.

Bob

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I appreciate that, and so do the students, but the laboratory experience (which is out of my hands) is pedagogical. It's not entirely about training in modern methods. For sophomores in college, there's plenty of value in this exercise (which is prefixed by plenty of "In the old days, before engineers knew how to add, . . ." so that I don't feel disingenuous). The equipment is there as a vehicle for education; the training is just bonus, and there will be plenty of modern training.

I haven't seen many good references on Lissajous figures for this application, and those that I've found are either inaccessible to sophomores or lack too few details to be useful. I'm trying to fill that gap a little with that document, and I thought a few people might be interested.

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